Numerical Modeling of Water Waves

by Lin; Pengzhi

• ISBN13: 9780415415781
• ISBN10: 0415415780
• Edition: 1st
• Format: Hardcover
• Copyright: 2008-06-20
• Publisher: CRC Press

Summary

Modelling large-scale wave fields and their interaction with coastal and offshore structures has become much more feasible over the last two decades with increases in computer speeds. Wave modelling can be viewed as an extension of wave theory, a mature and widely published field, applied to practical engineering through the use of computer tools. Information about the various wave models which have been developed is often widely scattered in the literature, and consequently this is one of the first books devoted to wave models and their applications. At the core of the book is an introduction to various types of wave models. For each model, the theoretical assumptions, the application range, and the advantages and limitations are elaborated. The combined use of different wave models from large-scale to local-scale is highlighted with a detailed discussion of the application and matching of boundary conditions. At the same time the book provides a grounding in hydrodynamics, wave theory, and numerical methods which underlie wave modelling. It presents the theoretical background and also shows how to use these models for achieving different engineering tasks, illustrated and reinforced with case study examples.

Author Biography

Penzhi Lin is Professor at the State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, China.

Table of Contents

Preface	p. vii
Introduction to water wave modeling	p. 1
Introduction to waves	p. 1
Ocean surface waves and the relevance to engineering applications	p. 1
Wave modeling	p. 3
Numerical models for water waves	p. 4
Books on water waves	p. 8
Review of hydrodynamics	p. 9
Basic equations for hydrodynamics	p. 9
Potential flow theory	p. 15
Turbulent flows and turbulence modeling	p. 17
Water wave theories and wave phenomena	p. 30
Linear wave theory	p. 30
Nonlinear properties of linear waves	p. 36
Nonlinear wave theory	p. 44
Wave generation and propagation	p. 54
Wave superposition and wave group	p. 56
Wave shoaling	p. 57
Wave breaking	p. 59
Wave run-up, run-down, and overtopping	p. 61
Wave reflection	p. 65
Wave refraction	p. 70
Wave diffraction	p. 73
Wave damping	p. 78
Nonlinear wave interaction	p. 81
Wave-current interaction	p. 84
Wave-structure interaction	p. 97
Numerical methods	p. 128
Introduction	p. 128
Finite difference method	p. 133
Finite element method	p. 151
Spectral method	p. 156
Boundary element method	p. 158
Meshless particle method	p. 160
Problem-based discrete formulation methods	p. 164
Grid and mesh generation	p. 168
Matrix solvers	p. 182
Water wave models	p. 185
Introduction	p. 185
Depth-resolved models	p. 185
Depth-averaged models	p. 215
Case studies using model coupling techniques	p. 275
Example wave models and benchmark tests	p. 290
Modeling of wave-structure interaction	p. 333
Introduction	p. 333
Models for inviscid and potential flows	p. 334
Models for viscous and turbulent flows	p. 351
Numerical simulations of wave-structure interaction	p. 362
Benchmark tests	p. 378
Summary	p. 408
Summaries of wave models and numerical methods	p. 408
Subjects not covered in this book	p. 408
Future work	p. 411
Appendices	p. 415
References	p. 435
Subject index	p. 474
Author index	p. 481
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